Seminar announcement

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


Stefano Spirito

Title: On the approximation of suitable weak solutions of Navier-Stokes 
equations

Abstract

In this talk I will discuss the problem of the approximation of suitable 
weak solutions of Navier-Stokes equations in the sense of Scheffer and 
Caffarelli-Kohn-Nirenberg. It is well-known that suitable weak solutions 
enjoy the partial regularity theorem of Caffarelli-Kohn-Nirenberg, hence 
they are more regular than a Leray weak solutions. However, since the 
uniqueness of weak solutions of Navier-Stokes is unknown it is not know 
if different approximation methods lead to a suitable weak solution. I 
will present some recent results obtained with L. C. Berselli 
(University of Pisa) where we prove that solutions obtained with some 
methods important in the applications are suitable. The main novelty of 
this results relies on the fact that the approximations are finite 
dimensional and the problem is considered in a bounded domain.

Venue: Wednesday 2 July at 3 pm in SISSA lecture room 133